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Finding the Fourth Proportional to 10,634.30, 14,674.71 and 6,157.74

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Solution

The fourth proportional to 10,634.30, 14,674.71 and 6,157.74 is: 8,497.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,634.30 : 14,674.71 = 6,157.74 : x
  2. Step 2: Convert to fraction form
    10,634.30/14,674.71 = 6,157.74/x
  3. Step 3: Cross multiply
    10,634.30x = 14,674.71 × 6,157.74
  4. Step 4: Simplify right side
    10,634.30x = 90,363,048.76
  5. Step 5: Solve for x
    x = 90,363,048.76/10,634.30
  6. Step 6: Final answer
    x = 8,497.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.